What is 97/75 + 3/11?
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Here's how we add
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Step 1Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator. Now you multiply 97 by 11, and get 1067, then we multiply 75 by 11 and get 825. Do the same for the second term. We multiply 3 by 75, and get 225, then multiply 75 by 11 and get 825. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 1067 + 225 = 1292 This yields the answer
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Step 3The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... Nope! So now we try the next greatest prime number, 3... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... Nope! So now we try the next greatest prime number, 23... Nope! So now we try the next greatest prime number, 29... Nope! So now we try the next greatest prime number, 31... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... Nope! So now we try the next greatest prime number, 53... Nope! So now we try the next greatest prime number, 59... Nope! So now we try the next greatest prime number, 61... Nope! So now we try the next greatest prime number, 67... Nope! So now we try the next greatest prime number, 71... Nope! So now we try the next greatest prime number, 73... Nope! So now we try the next greatest prime number, 79... Nope! So now we try the next greatest prime number, 83... Nope! So now we try the next greatest prime number, 89... Nope! So now we try the next greatest prime number, 97... Nope! So now we try the next greatest prime number, 101... Nope! So now we try the next greatest prime number, 103... Nope! So now we try the next greatest prime number, 107... Nope! So now we try the next greatest prime number, 109... Nope! So now we try the next greatest prime number, 113... Nope! So now we try the next greatest prime number, 127... Nope! So now we try the next greatest prime number, 131... Nope! So now we try the next greatest prime number, 137... Nope! So now we try the next greatest prime number, 139... Nope! So now we try the next greatest prime number, 149... Nope! So now we try the next greatest prime number, 151... Nope! So now we try the next greatest prime number, 157... Nope! So now we try the next greatest prime number, 163... Nope! So now we try the next greatest prime number, 167... Nope! So now we try the next greatest prime number, 173... Nope! So now we try the next greatest prime number, 179... Nope! So now we try the next greatest prime number, 181... Nope! So now we try the next greatest prime number, 191... Nope! So now we try the next greatest prime number, 193... Nope! So now we try the next greatest prime number, 197... Nope! So now we try the next greatest prime number, 199... Nope! So now we try the next greatest prime number, 211... Nope! So now we try the next greatest prime number, 223... Nope! So now we try the next greatest prime number, 227... Nope! So now we try the next greatest prime number, 229... Nope! So now we try the next greatest prime number, 233... Nope! So now we try the next greatest prime number, 239... Nope! So now we try the next greatest prime number, 241... Nope! So now we try the next greatest prime number, 251... Nope! So now we try the next greatest prime number, 257... Nope! So now we try the next greatest prime number, 263... Nope! So now we try the next greatest prime number, 269... Nope! So now we try the next greatest prime number, 271... Nope! So now we try the next greatest prime number, 277... Nope! So now we try the next greatest prime number, 281... Nope! So now we try the next greatest prime number, 283... Nope! So now we try the next greatest prime number, 293... Nope! So now we try the next greatest prime number, 307... Nope! So now we try the next greatest prime number, 311... Nope! So now we try the next greatest prime number, 313... Nope! So now we try the next greatest prime number, 317... Nope! So now we try the next greatest prime number, 331... Nope! So now we try the next greatest prime number, 337... Nope! So now we try the next greatest prime number, 347... Nope! So now we try the next greatest prime number, 349... Nope! So now we try the next greatest prime number, 353... Nope! So now we try the next greatest prime number, 359... Nope! So now we try the next greatest prime number, 367... Nope! So now we try the next greatest prime number, 373... Nope! So now we try the next greatest prime number, 379... Nope! So now we try the next greatest prime number, 383... Nope! So now we try the next greatest prime number, 389... Nope! So now we try the next greatest prime number, 397... Nope! So now we try the next greatest prime number, 401... Nope! So now we try the next greatest prime number, 409... Nope! So now we try the next greatest prime number, 419... Nope! So now we try the next greatest prime number, 421... Nope! So now we try the next greatest prime number, 431... Nope! So now we try the next greatest prime number, 433... Nope! So now we try the next greatest prime number, 439... Nope! So now we try the next greatest prime number, 443... Nope! So now we try the next greatest prime number, 449... Nope! So now we try the next greatest prime number, 457... Nope! So now we try the next greatest prime number, 461... Nope! So now we try the next greatest prime number, 463... Nope! So now we try the next greatest prime number, 467... Nope! So now we try the next greatest prime number, 479... Nope! So now we try the next greatest prime number, 487... Nope! So now we try the next greatest prime number, 491... Nope! So now we try the next greatest prime number, 499... Nope! So now we try the next greatest prime number, 503... Nope! So now we try the next greatest prime number, 509... Nope! So now we try the next greatest prime number, 521... Nope! So now we try the next greatest prime number, 523... Nope! So now we try the next greatest prime number, 541... Nope! So now we try the next greatest prime number, 547... Nope! So now we try the next greatest prime number, 557... Nope! So now we try the next greatest prime number, 563... Nope! So now we try the next greatest prime number, 569... Nope! So now we try the next greatest prime number, 571... Nope! So now we try the next greatest prime number, 577... Nope! So now we try the next greatest prime number, 587... Nope! So now we try the next greatest prime number, 593... Nope! So now we try the next greatest prime number, 599... Nope! So now we try the next greatest prime number, 601... Nope! So now we try the next greatest prime number, 607... Nope! So now we try the next greatest prime number, 613... Nope! So now we try the next greatest prime number, 617... Nope! So now we try the next greatest prime number, 619... Nope! So now we try the next greatest prime number, 631... Nope! So now we try the next greatest prime number, 641... Nope! So now we try the next greatest prime number, 643... Nope! So now we try the next greatest prime number, 647... Nope! So now we try the next greatest prime number, 653... Nope! So now we try the next greatest prime number, 659... Nope! So now we try the next greatest prime number, 661... Nope! So now we try the next greatest prime number, 673... Nope! So now we try the next greatest prime number, 677... Nope! So now we try the next greatest prime number, 683... Nope! So now we try the next greatest prime number, 691... Nope! So now we try the next greatest prime number, 701... Nope! So now we try the next greatest prime number, 709... Nope! So now we try the next greatest prime number, 719... Nope! So now we try the next greatest prime number, 727... Nope! So now we try the next greatest prime number, 733... Nope! So now we try the next greatest prime number, 739... Nope! So now we try the next greatest prime number, 743... Nope! So now we try the next greatest prime number, 751... Nope! So now we try the next greatest prime number, 757... Nope! So now we try the next greatest prime number, 761... Nope! So now we try the next greatest prime number, 769... Nope! So now we try the next greatest prime number, 773... Nope! So now we try the next greatest prime number, 787... Nope! So now we try the next greatest prime number, 797... Nope! So now we try the next greatest prime number, 809... Nope! So now we try the next greatest prime number, 811... Nope! So now we try the next greatest prime number, 821... Nope! So now we try the next greatest prime number, 823... Nope! So now we try the next greatest prime number, 827... No good. 827 is larger than 825. So we're done reducing. There you have it! Here's the final answer to 97/75 + 3/11
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